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Finding the Fourth Proportional to 55,656, 76,805.28 and 30,505.68

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Solution

The fourth proportional to 55,656, 76,805.28 and 30,505.68 is: 42,097.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,656 : 76,805.28 = 30,505.68 : x
  2. Step 2: Convert to fraction form
    55,656/76,805.28 = 30,505.68/x
  3. Step 3: Cross multiply
    55,656x = 76,805.28 × 30,505.68
  4. Step 4: Simplify right side
    55,656x = 2,342,997,293.99
  5. Step 5: Solve for x
    x = 2,342,997,293.99/55,656
  6. Step 6: Final answer
    x = 42,097.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.